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Finding the Third Proportional to 2,209,157,877 and 3,430,138,756.50

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Solution

The third proportional to 2,209,157,877 and 3,430,138,756.50 is: 5,325,944,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,157,877 : 3,430,138,756.50 = 3,430,138,756.50 : x
  2. Step 2: Convert to fraction form
    2,209,157,877/3,430,138,756.50 = 3,430,138,756.50/x
  3. Step 3: Cross multiply
    2,209,157,877x = 3,430,138,756.50 × 3,430,138,756.50
  4. Step 4: Simplify right side
    2,209,157,877x = 11,765,851,888,843,366,400
  5. Step 5: Solve for x
    x = 11,765,851,888,843,366,400/2,209,157,877
  6. Step 6: Final answer
    x = 5,325,944,338.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.